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Finding the Fourth Proportional to 829.62, 1,242.01 and 438.70

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Solution

The fourth proportional to 829.62, 1,242.01 and 438.70 is: 656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,242.01 = 438.70 : x
  2. Step 2: Convert to fraction form
    829.62/1,242.01 = 438.70/x
  3. Step 3: Cross multiply
    829.62x = 1,242.01 × 438.70
  4. Step 4: Simplify right side
    829.62x = 544,869.79
  5. Step 5: Solve for x
    x = 544,869.79/829.62
  6. Step 6: Final answer
    x = 656.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.